Abstract
In a relatively short period of time Data Envelopment Analysis (DEA) has grown into a powerful quantitative, analytical tool for measuring and evaluating performance. DEA has been successfully applied to a host of different types of entities engaged in a wide variety of activities in many contexts worldwide. This chapter discusses the fundamental DEA models and some of their extensions.
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References
Afriat, S., 1972, Efficiency estimation of production functions, International Economic Review 13, 568–598.
Ahn, T., A. Charnes and W.W. Cooper, 1988, “Efficiency Characterizations in Different DEA Models,” Socio-Economic Planning Sciences 22, 253–257.
Arnold, V., I. Bardhan, W.W. Cooper and A. Gallegos, 1998, “Primal and Dual Optimality in Computer Codes Using Two-Stage Solution Procedures in DEA” in J. Aronson and S. Zionts, eds., Operations Research Methods, Models and Applications (Westpost, Conn: Quorum Books).
Banker, R., A. Charnes and W.W. Cooper, 1984, Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management Science 30, 1078–1092.
Banker, R.D. and R.C. Morey, 1986a, Efficiency analysis for exogenously fixed inputs and outputs, Operations Research 34,No. 4, 513–521.
Banker, R.D. and R.C. Morey, 1986b, The use of categorical variables in data envelopment analysis, Management Science 32,No. 12, 1613–1627.
Bardhan, I., W.F. Bowlin, W.W. Cooper and T. Sueyoshi, 1996, “Models and Measures for Efficiency Dominance in DEA, Part I: Additive Models and MED Measures,” Journal of the Operational Research Society of Japan 39, 322–332.
Brockett, P.L., A. Charnes, W.W. Cooper, Z.M. Huang, and D.B. Sun, 1997, Data transformations in DEA cone ratio envelopment approaches for monitoring bank performances, European Journal of Operational Research 98,No. 2, 250–268.
Brockett, P.L., W.W. Cooper, H.C. Shin and Y. Wang, 1998, Inefficiency and congestion in Chinese production before and after the 1978 economic reforms. Socio-Econ Plann Sci 32, 1–20.
Charnes, A. and W.W. Cooper, 1962, Programming with linear fractional functionals, Naval Research Logistics Quarterly 9, 181–185.
Charnes, A., W.W. Cooper, and E. Rhodes, 1978, Measuring the efficiency of decision making units, European Journal of Operational Research 2, 429–444.
Charnes A, C.T. Clark, W.W. Cooper, B. Golany, 1985, A developmental study of data envelopment analysis in measuring the efficiency of maintenance units in the US air forces. In R.G. Thompson and R.M. Thrall, Eds., Annals Of Operation Research 2:95–112.
Charnes, A., W.W. Cooper, DB. Sun, and Z.M. Huang, 1990, Polyhedral cone-ratio DEA models with an illustrative application to large commercial banks, Journal of econometrics 46, 73–91.
Charnes, A., W.W. Cooper, Q.L. Wei, and Z.M. Huang, 1989, Cone ratio data envelopment analysis and multi-objective programming, International Journal of Systems Science 20, 1099–1118.
Charnes, A. and W.W. Cooper, 1961, Management Models and Industrial Applications of Linear Programming, 2 vols., with A. Charnes (New York: John Wiley and Sons, Inc.).
Charnes, A., W.W. Cooper, B. Golany, L. Seiford and J. Stutz, (1985) “Foundations of Data Envelopment Analysis for Pareto-Koopmans Efficient Empirical Production Functions,” Journal of Econometrics (1985), 30, pp. 91–107.
Cook, W.D., M. Kress, and L.M. Seiford, 1992, Prioritization models for frontier decision making units in DEA, European Journal of Operational Research 59,No. 2, 319–323.
Cooper, W.W., R.G. Thompson, and R.M. Thrall, 1996, Extensions and new developments in data envelopment analysis, Annals of Operations Research 66, 3–45.
Cooper, W.W., Seiford, L.M. and Tone, K., 2000, Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software, Kluwer Academic Publishers, Boston.
Cooper, W.W., Seiford, L.M. and Zhu, Joe, A unified additive model approach for evaluating inefficiency and congestion with associated measures in DEA. Socio-Economic Planning Sciences, Vol. 34,No. 1 (2000), 1–25.
Cooper, W.W., H. Deng, Z. M. Huang and S. X. Li, 2002, A one-model approach to congestion in data envelopment analysis, Socio-Economic Planning Sciences 36, 231–238.
Cooper, W.W., K.S. Park and J.T. Pastor, 2000, “Marginal Rates and Elasticities of Substitution in DEA.” Journal of Productivity Analysis 13, 2000, pp. 105–123.
Cooper, W.W., K.S. Park and J.T. Pastor, 1999, “RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models and Relations to Other Models and Measures in DEA”, Journal of Productivity Analysis 11, 5–42.
Debreu, G., 1951, The coefficient of resource utilization, Econometrica 19, 273–292.
Dyson, R.G. and E. Thanassoulis, 1988, Reducing weight flexibility in data envelopment analysis, Journal of the Operational Research Society 39,No. 6, 563–576.
Färe, R., S. Grosskopf and C.A.K. Lovell, 1985, The Measurement of Efficiency of Production. Boston: Kluwer Nijhoff Publishing Co.
Färe, R., S. Grosskopf and CAK Lovell, 1994, Production Frontiers (Cambridge: Cambridge University Press).
Farrell, M.J., 1957, The measurement of productive efficiency, Journal of Royal Statistical Society A 120, 253–281.
Koopmans, T.C., 1951, Analysis of Production as an efficient combination of Activities, in T.C. Koopmans, ed. Wiley, New York.
Roll, Y., W.D. Cook, and B. Golany, 1991, Controlling factor weights in data envelopment analysis, IIE Transactions, 23, 2–9.
Shephard, R.W., 1970, Theory of Cost and Production Functions, Princeton University Press, Princeton, NJ.
Takamura, T. and K. Tone, 2003, “A Comparative Site Evaluation Study for Relocating Japanese Government Agencies Out of Tokyo,” Socio-Economic Planning Sciences 37, 85–102.
Tavares, G., 2003, “A Bibliography of Data Envelopment Analysis (1978–2001),” Socio-Economic Planning Sciences (to appear).
Thompson, R.G., F.D. Jr. Singleton, R.M. Thrall, and B.A. Smith, 1986, Comparative site evaluation for locating a high-energy physics lab in Texas, Interfaces 16, 35–49.
Thompson, R.G., L. Langemeier, C. Lee, E. Lee, and R. Thrall, 1990, The role of multiplier bounds in efficiency analysis with application to Kansas farming, Journal of Econometrics 46, 93–108.
Tone, K. and B.K. Sahoo, 2003, “A Reexamination of Cost Efficiency and Cost Elasticity in DEA,” Management Science (forthcoming).
Wong, Y.-H.B. and J.E. Beasley, 1990, Restricting weight flexibility in data envelopment analysis, Journal of the Operational Research Society 41, 829–835.
Zhu, J., 1996a, DEA/AR analysis of the 1988–1989 performance of the Nanjing Textiles Corporation, Annals of Operations Research 66, 311–335.
Zhu, J., 1996b, Data envelopment analysis with preference structure, Journal of the Operational Research Society 47,No. 1, 136–150.
Zhu, J., 2000, Multi-factor performance measure model with an application to Fortune 500 companies. European Journal of Operational Research 123,No. 1, 105–124.
Zhu, J. 2002, Quantitative Models for Performance Evaluation and Benchmarking: Data Envelopment Analysis with Spreadsheets and DEA Excel Solver, Kluwer Academic Publishers, Boston.
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Cooper, W.W., Seiford, L.M., Zhu, J. (2004). Data Envelopment Analysis. In: Cooper, W.W., Seiford, L.M., Zhu, J. (eds) Handbook on Data Envelopment Analysis. International Series in Operations Research & Management Science, vol 71. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7798-X_1
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DOI: https://doi.org/10.1007/1-4020-7798-X_1
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